Let $M_{n,m}$ denote the set of $n\times m$ matrices over a field $\mathbb{C}$. The set of $k\times k$ minors are homogeneous polynomial functions of degree $k$ in the entries of the matrix. What is the dimension of the vector space they span inside the vector space of degree $k$ polynomials?
2026-04-04 09:39:50.1775295590
Dimension of space spanned by minors
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